CLAMBDA method with additional scaling factor for GNSS ambiguity resolution

doi:10.11947/j.AGCS.2022.20210185

Abstract

Abstract: Under the weak global navigation satellite system (GNSS) model, the initial search space of constrained LAMBDA (CLAMBDA) is too large, which leads to the problem of low ambiguity resolution efficiency. In the paper, an adaptive adjust search space for bounding functions search and shrink strategy (ASS) algorithm based on scaling factor is proposed, and the influence of setting the initial space with upper and lower boundaries on ASS algorithm is discussed. Then the performance of ASS algorithm is experimentally verified through two sets of measured examples. The results show that ASS algorithm with scaling factor can effectively adjust the search space and improve the search efficiency. Besides, setting the initial space based on the lower boundary can further improve the performance of ASS algorithm.

Key words: GNSS, ambiguity resolution, CLAMBDA, search space, scaling factor

CLC Number:

P228

LU Liguo, MA Liye, LIU Wanke, WU Tangting, HU Weijian. CLAMBDA method with additional scaling factor for GNSS ambiguity resolution[J]. Acta Geodaetica et Cartographica Sinica, 2022, 51(11): 2273-2284.

References

[1] 李博峰,沈云中. 附有约束条件的GPS模糊度快速解算[J]. 武汉大学学报(信息科学版), 2009, 34(1): 117-121. LI Bofeng, SHEN Yunzhong. Fast GPS ambiguity resolution constraint to available conditions[J]. Geomatics and Information Science of Wuhan University, 2009, 34(1): 117-121.
[2] TEUNISSEN P J G, GIORGI G, BUIST P J. Testing of a new single-frequency GNSS carrier phase attitude determination method: land, ship and aircraft experiments[J]. GPS Solutions, 2011, 15(1): 15-28.
[3] HAN Shaowei, RIZOS C. Single-epoch ambiguity resolution for real-time GPS attitude determination with the aid of one-dimensional optical fiber gyro[J]. GPS Solutions, 1999, 3(1): 5-12.
[4] 唐卫明, 李笛, 迟凤明. 北斗卫星导航系统单历元定向算法研究[J]. 武汉大学学报(信息科学版), 2013, 38(9): 1014-1017. TANG Weiming, LI Di, CHI Fengming. Research on single epoch orientation algorithm of BeiDou navigation satellite system[J]. Geomatics and Information Science of Wuhan University, 2013, 38(9): 1014-1017.
[5] 聂志喜, 王振杰, 欧吉坤, 等. 非线性基线长约束条件线性化近似对模糊度解算的影响[J]. 测绘学报, 2015, 44(2): 168-173, 182. DOI: 10.11947/j.AGCS.2015.20130491. NIE Zhixi, WANG Zhenjie, OU Jikun, et al. On the effect of linearization and approximation of nonlinear baseline length constraint for ambiguity resolution[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(2): 168-173, 182. DOI: 10.11947/j.AGCS.2015.20130491.
[6] DE LORENZO D S, ALBAN S, GAUTIER J, et al. GPS attitude determination for a JPALS testbed: integer initialization and testing[C]//Proceedings of 2004 Position Location and Navigation Symposium. Monterey, CA, USA: IEEE,2004: 762-770.
[7] MONIKES R, WENDEL J, TROMMER G. A modified LAMBDA method for ambiguity resolution in the presence of position domain constraints[C]//Proceedings of the 18th International Technical Meeting of the Satellite Division of the Institute of Navigation. Long Beach, CA, USA: [s.n.], 2005: 81-87.
[8] 李征航,刘万科,楼益栋,等. 基于双频GPS数据的单历元定向算法研究[J]. 武汉大学学报(信息科学版), 2007, 32(9): 753-756. LI Zhenghang, LIU Wanke, LOU Yidong, et al. Heading determination algorithm with single epoch dual-frequency GPS data[J]. Geomatics and Information Science of Wuhan University, 2007, 32(9): 753-756.
[9] PARK C, TEUNISSEN P J G. A new carrier phase ambiguity estimation for GNSS attitude determination systems[C]//Proceeding of 2003 International GPS/GNSS Symposium. Tokyo, Japan: IEEE, 2003: 274-276.
[10] TEUNISSEN P J G. The LAMBDA method for the GNSS compass[J]. Artificial Satellites, 2006, 41(3): 89-103.
[11] TEUNISSEN P J G. Integer least-squares theory for the GNSS compass[J]. Journal of Geodesy, 2010, 84(7): 433-447.
[12] BUIST P J. The baseline constrained LAMBDA method for single epoch, single frequency attitude determination applications[C]//Proceedings of the 20th ION GNSS International Technical Meeting of the Satellite Division.Texas, USA: [s.n.], 2007: 2962-2973.
[13] GIORGI G, TEUNISSEN P J G, BUIST P J. A search and shrink approach for the baseline constrained LAMBDA: experimental results[C]//Proceedings of 2008 International Symposium on GPS/GNSS. Tokyo, Japan: [s.n.], 2008: 797-806.
[14] CHEN W, QIN H. New method for single epoch, single frequency land vehicle attitude determination using low-end GPS receiver[J]. GPS Solutions, 2012, 16(3): 329-338. DOI: 10.1007/s10291-011-0234-8.
[15] LU Liguo, MA Liye, WU Tangting, et al. Performance analysis of positioning solution using low-cost single-frequency U-blox receiver based on baseline length constraint[J]. Sensors, 2019, 19(19): 4352.
[16] MA Liye, LU Liguo, ZHU Feng, et al. Baseline length constraint approaches for enhancing GNSS ambiguity resolution: comparative study[J]. GPS Solutions, 2021, 25(2): 40.
[17] 王冰, 隋立芬, 张清华, 等. 利用GPS解算载体测姿的算法研究[J]. 武汉大学学报(信息科学版), 2013, 38(12): 1392-1395. WANG Bing, SUI Lifen, ZHANG Qinghua, et al. Research on attitude determination algorithms using GPS[J]. Geomatics and Information Science of Wuhan University, 2013, 38(12): 1392-1395.
[18] CHANG X W, YANG X, ZHOU T. MLAMBDA: a modified LAMBDA method for integer least-squares estimation[J]. Journal of Geodesy, 2005, 79(9): 552-565.
[19] 刘万科,马立烨,卢立果,等. 一种改进的SEVB整数模糊度搜索算法[J]. 测绘学报, 2018, 47(1): 17-24. DOI: 10.11947/j.AGCS.2018.20170227. LIU Wanke, MA Liye, LU Liguo, et al. A modified SEVB integer ambiguity search algorithm[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(1): 17-24. DOI: 10.11947/j.AGCS.2018.20170227.
[20] TEUNISSEN P J G. Success probability of integer GPS ambiguity rounding and bootstrapping[J]. Journal of Geodesy, 1998, 72(10): 606-612.
[21] VERHAGEN S, LI Bofeng, TEUNISSEN P J G. Ps-LAMBDA: ambiguity success rate evaluation software for interferometric applications[J]. Computers & Geosciences, 2013, 54: 361-376.
[22] TEUNISSEN P J G. The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation[J]. Journal of Geodesy, 1995, 70(1): 65-82.
[23] 范龙, 翟国君, 柴洪洲. 模糊度降相关的整数分块正交化算法[J]. 测绘学报, 2014, 43(8): 818-826. FAN Long, ZHAI Guojun, CHAI Hongzhou. Ambiguity decorrelation with integer block orthogonalization algorithm[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(8): 818-826.
[24] 卢立果,刘万科,鲁铁定,等. GNSS模糊度降相关性能的条件方差平稳度评价法[J]. 测绘学报, 2020, 49(8): 955-964. DOI: 10.11947/j.AGCS.2020.20190417. LU Liguo, LIU Wanke, LU Tieding, et al. Conditional variance stationarity evaluation method for GNSS ambiguity decorrelation[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(8): 955-964. DOI: 10.11947/j.AGCS.2020.20190417.
[25] ZENG Tian, SUI Lifen, JIA Xiaolin, et al. Results and analyses of BDS precise orbit determination with the enhancement of Fengyun-3C[J]. Journal of Geodesy and Geoinformation Science, 2019, 2(3): 68-78. DOI:10.11947/j.JGGS.2019.0307.
[26] WANG Jian, HAN Houzeng, LIU Fei, et al. Performance analysis of GNSS/MIMU tight fusion positioning model with complex scene feature constraints[J]. Journal of Geodesy and Geoinformation Science, 2021, 4(2): 1-13. DOI:10.11947/j.JGGS.2021.0201.